Answer:
Step-by-step explanation:
Subtract both sides from 35
Simplify:
Factor 
=0
Your answer will be z=57
and No solution
24 feet long :)
All I did was I divided the 36 into 3 equal parts of 12, then doubled the 12 to make that longer piece 24 feet. This 24 foot piece would be twice as long as the other leftover 12 foot piece since 12x2=24
Answer:
A) Alternative hypothesis; Ha: p_o > ⅔
B) Null hypothesis;
H0: p_o = ⅔
C) There is sufficient evidence to support the claim that the community screening programme was effective
D) p-value = 0
Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective
Step-by-step explanation:
A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.
Thus, the null hypothesis is;
H0: p_o = ⅔
We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;
Ha: p_o > ⅔
B) null hypothesis is;
H0: p_o = ⅔
C) 164 out of the 200 women selected survived the disease.
Thus sample proportion is;
p^ = 164/200
p^ = 0.82
For the z-score value, we will use the formula;
z = (p^ - p_o)/√((p_o(1 - p_o)/n)
Now, p_o = ⅔ = 0.67
Thus;
z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)
z = 4.51
From online p-value from z-score calculator, we have p-value ≈ 0
This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.
D) p-value ≈ 0
Reject the null hypothesis
Domain includes all the x-values in the function. Range includes all the y-values in the function.
The first table has x-values of -1, 3, and 6, and y-values of 4, 5, and 6. This means that the domain and range would be given by the following sets:
Domain: {-1, 3, 6}
Range: {4, 5, 6}
The second set of points has x-values of -4, -4, -3, and 1, and y-values of 1, 1, 3, and 4. Duplicate points are not listed within the domain and range, so the domain and range would be given by the following sets:
Domain: {-4, -3, 1}
Range: {1, 3, 4}
Answer: 
Step-by-step explanation:
Given: The number of bacteria, B, in a refrigerated food is given by the function 
, where t is the temperature of food in degrees Fahrenheit.
The function 
gives the temperature, t, of the food h hours after being removed from the refrigerator.
Now, the number bacteria in the food in h hours is given by:-
So, The number bacteria in the food in h hours is given by:
